This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great ex
This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie
The present volume supersedes my Introduction to Differentiable Manifolds written a few years back. I have expanded the book considerably, including things like
* A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the en
This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic